Basic Math Examples

$0 - {(\sqrt{100 - (a + 4)})}^{2}$

Step 1

Subtract ${(\sqrt{100 - (a + 4)})}^{2}$ from $0$ .

$- {(\sqrt{100 - (a + 4)})}^{2}$

Step 2

Apply the distributive property.

$- {\sqrt{100 - a - 1 \cdot 4}}^{2}$

Step 3

Simplify the expression.

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Step 3.1

Multiply $- 1$ by $4$ .

$- {\sqrt{100 - a - 4}}^{2}$

Step 3.2

Subtract $4$ from $100$ .

$- {\sqrt{- a + 96}}^{2}$

Step 4

Factor $- 1$ out of $- a + 96$ .

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Step 4.1

Factor $- 1$ out of $- a$ .

$- {\sqrt{- (a) + 96}}^{2}$

Step 4.2

Rewrite $96$ as $- 1 (- 96)$ .

$- {\sqrt{- (a) - 1 (- 96)}}^{2}$

Step 4.3

Factor $- 1$ out of $- (a) - 1 (- 96)$ .

$- {\sqrt{- (a - 96)}}^{2}$

Step 5

Rewrite ${\sqrt{- (a - 96)}}^{2}$ as $- (a - 96)$ .

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Step 5.1

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt{- (a - 96)}$ as ${(- (a - 96))}^{\frac{1}{2}}$ .

$- {({(- (a - 96))}^{\frac{1}{2}})}^{2}$

Step 5.2

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$- {(- (a - 96))}^{\frac{1}{2} \cdot 2}$

Step 5.3

Combine $\frac{1}{2}$ and $2$ .

$- {(- (a - 96))}^{\frac{2}{2}}$

Step 5.4

Cancel the common factor of $2$ .

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Step 5.4.1

Cancel the common factor.

$- {(- (a - 96))}^{\frac{2}{2}}$

Step 5.4.2

Rewrite the expression.

$- {(- (a - 96))}^{1}$

Step 5.5

Simplify.

$- - (a - 96)$

Step 6

Apply the distributive property.

$- (- a - - 96)$

Step 7

Multiply $- 1$ by $- 96$ .

$- (- a + 96)$

Step 8

Apply the distributive property.

$- - a - 1 \cdot 96$

Step 9

Multiply $- - a$ .

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Step 9.1

Multiply $- 1$ by $- 1$ .

$1 a - 1 \cdot 96$

Step 9.2

Multiply $a$ by $1$ .

$a - 1 \cdot 96$

Step 10

Multiply $- 1$ by $96$ .

$a - 96$